Russell went 6-for-10 from the 3-point line in a 136-105 demolition job of the Atlanta Hawks on Monday.
The 28-year-old finish with 27 points and 10 assists as the Lakers bounced back from successive defeats.
Russell has now shot 183 3-pointers this season, tying Van Exel's all-time single-season Lakers record, which was set in 1994-95. To get there, Russell had to surpass the late Kobe Bryant, who sunk 180 3s in the 2005-06 campaign.
It left Ham to laud the star guard, with the Lakers coach saying: "He has a green room. Not a green light [to shoot]. A green room.
"His prowess from the 3-point line, you know, it's really, really elite. And we need every bit of it."
Russell added: "It's really cool, honestly, just to know that, to get credit for it.
"It's just really cool. I said I don't want to underdo it, understate it, overdo it. I just feel like it's really cool to just be a part of something like that.
"I think I did something like that in Brooklyn, as well. Just to get credit for your game and what you work through and showcase it every night."
Indeed, Russell set the Nets' record for 3s in a season, with 234 in the 2018-19 campaign.
Russell's teammate Anthony Davis looks forward to a new franchise record being set when the Lakers face the Philadelphia 76ers on Friday.
"He's able to get going and fill up the stat sheet with his scoring, and it's a big thing for him, big thing for us as a team," Davis said Russell.
"Obviously, there's been a lot going on around D-Lo, and just to be able to do that and us embrace him and he sees that, feels the love, that's good for him."
Los Angeles won 101-94 on Friday, earning their first victory over Philadelphia since March 2020.
The Lakers improved to 38-32, now the same record as the Sixers, with the fourth quarter proving key as they edged a close, low-scoring game.
It was the Lakers' lowest points tally in a game since January 3 and LeBron, who had 11 of his 20 points in the fourth quarter, as well as eight rebounds and six assists, accepted it had not been a vintage performance.
"It was ugly, but we got the job done," he said, per ESPN. "We defended well in the second half. They only had 18 points in the fourth. That's big-time when the offense was struggling like it was.
"We turned the ball over way too much and gave up too many easy baskets, but when we got in the half-court, we buckled down and made them take tough shots."
Davis had 23 points and 19 rebounds for Los Angeles, while Russell finished with 14 points and four 3-pointers.
Nick Van Exel had 183 successful 3s for the Lakers during the 1994-95 season, but Russell hit his 184th of this season in the first quarter, having sunk six from deep in the win against the Atlanta Hawks on Monday.
Russell said: "It just feels good to be part of one of these type of deals.
"This franchise is one of the most prestigious, so to have my name be a part of it, more than grateful.
"Just continue to shatter it, if I can. Make it really hard for the next person!"
Tyrese Maxey scored 27 points for the Sixers, who have lost seven of 10 without MVP Joel Embiid and are 0-2 on their four-game West Coast road trip which continues against the Los Angeles Clippers next.
"We played unbelievably hard and executed the game plan," Philadelphia coach Nick Nurse said. "I just thought we could not get enough offense to hang in there.
"As long as we play our guts out, I can live with it. I’m having a hard time living with it right now because I thought we played so hard and executed so well."
The Lakers, meanwhile, have won seven of their last 11 and host the Indiana Pacers (40-31) on Sunday. They are ninth in the Western Conference standings.
